Convert 23,000 cubic inches (in) to cubic feet (Spts)
The correct answer and explanation is:
Correct Answer:
23,000 cubic inches is equal to 13.31 cubic feet (ft³)
Explanation:
To convert cubic inches to cubic feet, use the conversion factor between inches and feet. One foot equals 12 inches, so: 1 cubic foot=12×12×12=1728 cubic inches1 \text{ cubic foot} = 12 \times 12 \times 12 = 1728 \text{ cubic inches}
To convert from cubic inches to cubic feet, divide the number of cubic inches by 1728: 23000 in31728 in3/ft3=13.2986≈13.31 ft3\frac{23000 \text{ in}^3}{1728 \text{ in}^3/\text{ft}^3} = 13.2986 \approx 13.31 \text{ ft}^3
So, 23,000 cubic inches equals approximately 13.31 cubic feet.
This conversion is useful in many practical applications. For example, when determining the volume of a container or a package, the measurements might be given in inches due to the precision of smaller units. However, in construction or shipping, volume is often standardized in cubic feet. This helps in determining storage space, material requirements, or shipping costs.
Volume conversions are based on the cube of the linear conversion factor. Since 1 foot equals 12 inches, the conversion to volume units involves cubing this factor, resulting in 1728. Failing to cube the factor is a common mistake and leads to incorrect results. By understanding and applying this correctly, accurate and meaningful measurements across unit systems can be achieved.
It is also important to round the answer appropriately depending on the context. In scientific or technical fields, more precision may be required. In general everyday use, rounding to two decimal places is usually sufficient.